745242501427200 has 7488 divisors, whose sum is σ = 3577599818956800. Its totient is φ = 144168085094400.

The previous prime is 745242501427147. The next prime is 745242501427241. The reversal of 745242501427200 is 2724105242547.

745242501427200 is a `hidden beast` number, since 7 + 4 + 5 + 2 + 425 + 0 + 14 + 2 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5361456844731 + ... + 5361456844869.

It is an arithmetic number, because the mean of its divisors is an integer number (477777753600).

Almost surely, 2^{745242501427200} is an apocalyptic number.

745242501427200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745242501427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788799909478400).

745242501427200 is an abundant number, since it is smaller than the sum of its proper divisors (2832357317529600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

745242501427200 is a wasteful number, since it uses less digits than its factorization.

745242501427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 45.

Adding to 745242501427200 its reverse (2724105242547), we get a palindrome (747966606669747).

The spelling of 745242501427200 in words is "seven hundred forty-five trillion, two hundred forty-two billion, five hundred one million, four hundred twenty-seven thousand, two hundred".